PROGRAM ZF_SAMPLE USE TYPESP USE TYPEDESC USE F90TOOLS USE F90PSBLAS USE F90METHD USE MAT_DIST USE READ_MAT USE PARTGRAPH USE GETP IMPLICIT NONE ! Input parameters CHARACTER*20 :: CMETHD, PREC, MTRX_FILE, RHS_FILE CHARACTER*80 :: CHARBUF DOUBLE PRECISION DDOT EXTERNAL DDOT INTERFACE ! .....user passed subroutine..... SUBROUTINE PART_BLOCK(GLOBAL_INDX,N,NP,PV,NV) IMPLICIT NONE INTEGER, INTENT(IN) :: GLOBAL_INDX, N, NP INTEGER, INTENT(OUT) :: NV INTEGER, INTENT(OUT) :: PV(*) END SUBROUTINE PART_BLOCK END INTERFACE ! Local variables INTEGER, PARAMETER :: IZERO=0, IONE=1 CHARACTER, PARAMETER :: ORDER='R' COMPLEX(KIND(1.D0)), POINTER,SAVE :: B_COL(:), X_COL(:), R_COL(:), & & B_COL_GLOB(:), X_COL_GLOB(:), R_COL_GLOB(:), B_GLOB(:,:), & &Z(:), Q(:),Z1(:) INTEGER :: IARGC Real(Kind(1.d0)), Parameter :: Dzero = 0.d0, One = 1.d0 Real(Kind(1.d0)) :: MPI_WTIME, T1, T2, TPREC, R_AMAX, B_AMAX,bb(1,1),lambda,scale,resmx,resmxp integer :: nrhs, nrow, nx1, nx2, n_row External IARGC, MPI_WTIME integer bsze,overlap common/part/bsze,overlap ! Sparse Matrices TYPE(Z_SPMAT) :: A, AUX_A, L, U !!$ TYPE(D_PRECN) :: APRC ! Dense Matrices COMPLEX(KIND(1.D0)), POINTER :: AUX_B(:,:) , AUX1(:), AUX2(:), VDIAG(:),& & AUX_G(:,:), AUX_X(:,:) ! Communications data structure TYPE(desc_type) :: DESC_A ! BLACS parameters INTEGER :: NPROW, NPCOL, ICTXT, IAM, NP, MYPROW, MYPCOL logical :: amroot ! Solver paramters INTEGER :: ITER, ITMAX, IERR, ITRACE, IRCODE, IPART,& & IPREC, METHD, ISTOPC, ML integer, pointer :: ierrv(:) REAL(KIND(1.D0)) :: ERR, EPS integer iparm(20) real(kind(1.d0)) rparm(20) ! Other variables INTEGER :: I,INFO,J INTEGER :: INTERNAL, M,II,NNZERO ! common area INTEGER M_PROBLEM, NPROC allocate(ierrv(6)) ! Initialize BLACS CALL BLACS_PINFO(IAM, NP) CALL BLACS_GET(IZERO, IZERO, ICTXT) ! Rectangular Grid, Np x 1 CALL BLACS_GRIDINIT(ICTXT, ORDER, NP, IONE) CALL BLACS_GRIDINFO(ICTXT, NPROW, NPCOL, MYPROW, MYPCOL) amroot = (myprow==0).and.(mypcol==0) ! ! Get parameters ! CALL GET_PARMS(ICTXT,MTRX_FILE,RHS_FILE,CMETHD,PREC,& & IPART,ISTOPC,ITMAX,ITRACE,ML,IPREC,EPS) CALL BLACS_BARRIER(ICTXT,'A') T1 = MPI_WTIME() ! Read the input matrix to be processed and (possibly) the RHS NRHS = 1 IF (amroot) THEN NULLIFY(AUX_B) CALL ZREADMAT(MTRX_FILE, AUX_A, ICTXT) M_PROBLEM = AUX_A%M CALL IGEBS2D(ICTXT,'A',' ',1,1,M_PROBLEM,1) IF(RHS_FILE.NE.'NONE') THEN ! Reading an RHS CALL ZREAD_RHS(RHS_FILE,AUX_B,ICTXT) END IF IF (ASSOCIATED(AUX_B).and.SIZE(AUX_B,1)==M_PROBLEM) THEN ! If any RHS were present, broadcast the first one write(0,*) 'Ok, got an RHS ',aux_b(m_problem,1) B_COL_GLOB =>AUX_B(:,1) ELSE write(0,*) 'Inventing an RHS ' ALLOCATE(AUX_B(M_PROBLEM,1), STAT=IRCODE) IF (IRCODE /= 0) THEN WRITE(0,*) 'Memory allocation failure in ZF_SAMPLE' CALL BLACS_ABORT(ICTXT,-1) STOP ENDIF write(0,*) 'Check on AUX_B ',size(aux_b,1),size(aux_b,2),m_problem B_COL_GLOB => AUX_B(:,1) DO I=1, M_PROBLEM B_COL_GLOB(I) = CMPLX(I*2.0/M_PROBLEM,0) ENDDO ENDIF CALL ZGEBS2D(ICTXT,'A',' ',M_PROBLEM,1,B_COL_GLOB,M_PROBLEM) ELSE CALL IGEBR2D(ICTXT,'A',' ',1,1,M_PROBLEM,1,0,0) WRITE(0,*) 'Receiving AUX_B' ALLOCATE(AUX_B(M_PROBLEM,1), STAT=IRCODE) IF (IRCODE /= 0) THEN WRITE(0,*) 'Memory allocation failure in ZF_SAMPLE' CALL BLACS_ABORT(ICTXT,-1) STOP ENDIF write(0,*) 'Check on AUX_B ',size(aux_b,1),size(aux_b,2),m_problem B_COL_GLOB =>AUX_B(:,1) CALL ZGEBR2D(ICTXT,'A',' ',M_PROBLEM,1,B_COL_GLOB,M_PROBLEM,0,0) END IF NPROC = NPROW ! Switch over different partition types IF (IPART.EQ.0) THEN CALL BLACS_BARRIER(ICTXT,'A') WRITE(6,*) 'Partition type: BLOCK' CALL ZMATDIST(AUX_A, A, PART_BLOCK, ICTXT, & & DESC_A,B_COL_GLOB,B_COL) ELSE IF (IPART.EQ.2) THEN WRITE(6,*) amroot,' Partition type: GRAPH' IF (amroot) THEN CALL BUILD_GRPPART(AUX_A%M,AUX_A%FIDA,AUX_A%IA1,AUX_A%IA2,NP) ENDIF call blacs_barrier(ictxt,'All') CALL DISTR_GRPPART(0,0,ICTXT) CALL ZMATDIST(AUX_A, A, PART_GRAPH, ICTXT, & & DESC_A,B_COL_GLOB,B_COL) ELSE WRITE(6,*) 'Partition type: BLOCK' CALL ZMATDIST(AUX_A, A, PART_BLOCK, ICTXT, & & DESC_A,B_COL_GLOB,B_COL) END IF write(*,*) amroot,' Done matdist' CALL F90_PSDSALL(M_PROBLEM,X_COL,IERRV,DESC_A) X_COL(:) =0.0 CALL F90_PSDSASB(X_COL,IERRV,DESC_A) CALL F90_PSDSALL(M_PROBLEM,R_COL,IERRV,DESC_A) R_COL(:) =0.0 CALL F90_PSDSASB(R_COL,IERRV,DESC_A) T2 = MPI_WTIME() - T1 CALL DGAMX2D(ICTXT, 'A', ' ', IONE, IONE, T2, IONE,& & T1, T1, -1, -1, -1) IF (amroot) THEN WRITE(6,*) 'Time to Read and Partition Matrix : ',T2 END IF ! ! Prepare the preconditioning matrix. Note the availability ! of optional parameters ! IF (amroot) WRITE(6,*) 'Preconditioner : "',PREC(1:6),'" ',iprec T1 = MPI_WTIME() CALL PRECONDITIONER(IPREC,A,L,U,VDIAG,DESC_A,INFO) TPREC = MPI_WTIME()-T1 CALL DGAMX2D(ICTXT,'A',' ',IONE, IONE,TPREC,IONE,T1,T1,-1,-1,-1) WRITE(0,*) 'Preconditioner Time : ',TPREC,' ',& &prec,iprec IF (INFO /= 0) THEN WRITE(0,*) 'Error in preconditioner :',INFO CALL BLACS_ABORT(ICTXT,-1) STOP END IF IPARM = 0 RPARM = 0.D0 write(0,*) amroot,'Starting method' CALL BLACS_BARRIER(ICTXT,'All') T1 = MPI_WTIME() IF (CMETHD.EQ.'BICGSTAB') Then CALL F90_BICGSTAB(A,IPREC,L,U,VDIAG,B_COL,X_COL,EPS,DESC_A,& & ITMAX,ITER,ERR,IERR,ITRACE) !!$ ELSE IF (CMETHD.EQ.'BICG') Then !!$ CALL F90_BICG(A,IPREC,L,U,VDIAG,B_COL,X_COL,EPS,DESC_A,& !!$ & ITMAX,ITER,ERR,IERR,ITRACE) !!$ ELSE IF (CMETHD.EQ.'CGS') Then !!$ CALL F90_CGS(A,IPREC,L,U,VDIAG,B_COL,X_COL,EPS,DESC_A,& !!$ & ITMAX,ITER,ERR,IERR,ITRACE) !!$ ELSE IF (CMETHD.EQ.'BICGSTABL') Then !!$ CALL F90_BICGSTABL(A,IPREC,L,U,VDIAG,B_COL,X_COL,EPS,DESC_A,& !!$ & ITMAX,ITER,ERR,IERR,ITRACE,ML) ENDIF CALL BLACS_BARRIER(ICTXT,'All') T2 = MPI_WTIME() - T1 CALL DGAMX2D(ICTXT,'A',' ',IONE, IONE,T2,IONE,T1,T1,-1,-1,-1) call f90_psaxpby((1.d0,0.d0),b_col,(0.d0,0.d0),r_col,desc_A) call f90_psspmm((-1.d0,0.d0),a,x_col,(1.d0,0.d0),r_col,desc_a) call f90_amax(resmx,r_col,desc_a) where (b_col/= 0) r_col = r_col/b_col end where call f90_amax(resmxp,r_col,desc_a) !!$ ITER=IPARM(5) !!$ ERR = RPARM(2) if (amroot) then write(6,*) 'methd iprec istopc : ',iprec, istopc write(6,*) 'Number of iterations : ',iter write(6,*) 'Time to Solve Matrix : ',T2 WRITE(6,*) 'Time per iteration : ',T2/(ITER) WRITE(6,*) 'Error on exit : ',ERR END IF allocate(x_col_glob(m_problem),r_col_glob(m_problem),stat=ierr) if (ierr.ne.0) then write(0,*) 'Allocation error: no data collection' else call f90_psdgatherm(x_col_glob,x_col,desc_a,iroot=0) call f90_psdgatherm(r_col_glob,r_col,desc_a,iroot=0) if (amroot) then write(0,*) 'Saving X on file' write(20,*) 'Matrix: ',mtrx_file write(20,*) 'Computed solution on ',NPROW,' processors.' write(20,*) 'Iterations to convergence: ',iter write(20,*) 'Error indicator (infinity norm) on exit:', & & ' ||r||/(||A||||x||+||b||) = ',err write(20,*) 'Max residual = ',resmx, resmxp do i=1,m_problem write(20,998) i,x_col_glob(i),r_col_glob(i),b_col_glob(i) enddo end if end if 998 format(i8,4(2x,g20.14)) 993 format(i6,4(1x,e12.6)) !!$ ! !!$ ! Raleygh quotients for first eigenvalue !!$ ! !!$ CALL F90_PSDSall(M_problem,Q,ierrv,DESC_A) !!$ CALL F90_PSDSall(M_problem,Z,ierrv,DESC_A) !!$ CALL F90_PSDSall(M_problem,Z1,ierrv,DESC_A) !!$ CALL F90_PSDSasb(Q,ierrv,DESC_A) !!$ CALL F90_PSDSasb(Z,ierrv,DESC_A) !!$ CALL F90_PSDSasb(Z1,ierrv,DESC_A) !!$ scale = f90_psnrm2(x_col,desc_a) !!$ scale = one/scale !!$ call f90_psaxpby(scale,x_col,dzero,q,desc_A) !!$ call f90_psspmm(one,a,q,dzero,z,desc_a) !!$ do i=1, itmax !!$ scale = f90_psnrm2(z,desc_a) !!$ scale = one/scale !!$ call f90_psaxpby(one,z,dzero,z1,desc_a) !!$ call f90_psaxpby(scale,z,dzero,q,desc_a) !!$ call f90_psspmm(one,a,q,dzero,z,desc_a) !!$ lambda = f90_psdot(q,z,desc_A) !!$ scale = f90_psnrm2(z,desc_A) !!$ if (amroot) write(0,*) 'Lambda: ',i,lambda, scale !!$ enddo !!$ call f90_psaxpby(-one,z,one,z1,desc_a) !!$ scale = f90_psnrm2(z1,desc_A) !!$ if (amroot) write(0,*) 'Final check: ',i,lambda, scale !!$ do i=1, desc_a%matrix_data(n_row_) !!$ scale=z(i)/q(i) !!$ write(0,*) 'Vector check: ',i,lambda, scale,abs(scale-lambda) !!$ enddo CALL F90_PSDSFREE(B_COL, DESC_A) CALL F90_PSDSFREE(X_COL, DESC_A) CALL F90_PSSPFREE(A, DESC_A) IF (IPREC.GE.2) THEN CALL F90_PSSPFREE(L, DESC_A) CALL F90_PSSPFREE(U, DESC_A) END IF CALL F90_PSDSCFREE(DESC_A,info) CALL BLACS_GRIDEXIT(ICTXT) CALL BLACS_EXIT(0) END PROGRAM ZF_SAMPLE